Search a number
-
+
11312212131 = 32111737593079
BaseRepresentation
bin10101000100100001…
…01010100010100011
31002012100220220202200
422202100222202203
5141131411242011
65110255544243
7550220134203
oct124220524243
932170826680
1011312212131
1148854a3450
12223852b083
1310b380cb5c
14794542403
154631b1856
hex2a242a8a3

11312212131 has 96 divisors (see below), whose sum is σ = 19718899200. Its totient is φ = 6169789440.

The previous prime is 11312212127. The next prime is 11312212157. The reversal of 11312212131 is 13121221311.

11312212131 is a `hidden beast` number, since 11 + 312 + 212 + 131 = 666.

It is not a de Polignac number, because 11312212131 - 22 = 11312212127 is a prime.

It is a super-2 number, since 2×113122121312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11312219131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3672450 + ... + 3675528.

It is an arithmetic number, because the mean of its divisors is an integer number (205405200).

Almost surely, 211312212131 is an apocalyptic number.

11312212131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11312212131 is a deficient number, since it is larger than the sum of its proper divisors (8406687069).

11312212131 is a wasteful number, since it uses less digits than its factorization.

11312212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3206 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11312212131 its reverse (13121221311), we get a palindrome (24433433442).

The spelling of 11312212131 in words is "eleven billion, three hundred twelve million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 11 17 33 37 51 59 99 111 153 177 187 333 407 531 561 629 649 1003 1221 1683 1887 1947 2183 3009 3079 3663 5661 5841 6549 6919 9027 9237 11033 19647 20757 24013 27711 33099 33869 37111 52343 62271 72039 99297 101607 111333 113923 157029 181661 216117 304821 333999 341769 408221 471087 544983 575773 1025307 1224663 1253153 1634949 1727319 1936691 1998271 3088237 3673989 3759459 5181957 5810073 5994813 6721457 9264711 11278377 17430219 17984439 20164371 21303601 27794133 33970607 60493113 63910803 73936027 101911821 114264769 191732409 221808081 305735463 342794307 665424243 1028382921 1256912459 3770737377 11312212131